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<div class="section boost_icl_function_reference_range" lang="en">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_icl.function_reference.range"></a><a class="link" href="range.html" title="Range">Range</a>
</h3></div></div></div>
<div class="informaltable"><table class="table">
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<thead><tr>
<th>
              <p>
                <span class="emphasis"><em><span class="bold"><strong>Range</strong></span></em></span>
              </p>
              </th>
<th>
              <p>
                intervals
              </p>
              </th>
<th>
              <p>
                interval<br> sets
              </p>
              </th>
<th>
              <p>
                interval<br> maps
              </p>
              </th>
<th>
              <p>
                condition
              </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">interval_type</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
                <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">lower</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">upper</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">first</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">is_discrete</span><span class="special">&lt;</span><span class="identifier">domain_type</span><span class="special">&gt;::</span><span class="identifier">value</span></code>
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">last</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <span class="emphasis"><em>O(1)</em></span>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">is_discrete</span><span class="special">&lt;</span><span class="identifier">domain_type</span><span class="special">&gt;::</span><span class="identifier">value</span></code>
              </p>
              </td>
</tr>
</tbody>
</table></div>
<p>
        The table above shows the availability of functions <code class="computeroutput"><span class="identifier">hull</span></code>,
        <code class="computeroutput"><span class="identifier">lower</span></code>, <code class="computeroutput"><span class="identifier">upper</span></code>,
        <code class="computeroutput"><span class="identifier">first</span></code> and <code class="computeroutput"><span class="identifier">last</span></code>
        on intervals and interval containers that are all of <span class="emphasis"><em><span class="bold"><strong>constant time complexity</strong></span></em></span>. Find the functions
        description and some simple properties below.
      </p>
<div class="informaltable"><table class="table">
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<thead><tr>
<th>
              <p>
                <span class="emphasis"><em><span class="bold"><strong>Range</strong></span></em></span>
              </p>
              </th>
<th>
              <p>
                Types
              </p>
              </th>
<th>
              <p>
                Description
              </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">interval_type</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                returns the smallest interval that contains all intervals of an interval
                container <code class="computeroutput"><span class="identifier">x</span></code>.
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">hull</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;,</span>
                <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">hull</span><span class="special">(</span><span class="identifier">i</span><span class="special">,</span><span class="identifier">j</span><span class="special">)</span></code>
                returns the smallest interval that contains intervals <code class="computeroutput"><span class="identifier">i</span></code> abd 'j'.
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">lower</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">lower</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                returns the lower bound of an interval or interval container <code class="computeroutput"><span class="identifier">x</span></code>.
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">upper</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">upper</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                returns the upper bound of an interval or interval container <code class="computeroutput"><span class="identifier">x</span></code>.
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">first</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">first</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                returns the first element of an interval or interval container <code class="computeroutput"><span class="identifier">x</span></code>. <code class="computeroutput"><span class="identifier">first</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
                is defined for a discrete <code class="computeroutput"><span class="identifier">domain_type</span></code>
                only.
              </p>
              </td>
</tr>
<tr>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">domain_type</span> <span class="identifier">last</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
              </p>
              </td>
<td>
              <p>
                <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a>
                <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a>
              </p>
              </td>
<td>
              <p>
                <code class="computeroutput"><span class="identifier">last</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                returns the last element of an interval or interval container <code class="computeroutput"><span class="identifier">x</span></code>. <code class="computeroutput"><span class="identifier">last</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&amp;)</span></code>
                is defined for a discrete <code class="computeroutput"><span class="identifier">domain_type</span></code>
                only.
              </p>
              </td>
</tr>
</tbody>
</table></div>
<p>
        
</p>
<pre class="programlisting"><span class="comment">// for interval_containers x:
</span><span class="identifier">lower</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">lower</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
<span class="identifier">upper</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">upper</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
<span class="identifier">first</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span> <span class="special">==</span> <span class="identifier">first</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
<span class="identifier">last</span><span class="special">(</span><span class="identifier">hull</span><span class="special">(</span><span class="identifier">x</span><span class="special">))</span>  <span class="special">==</span> <span class="identifier">last</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span>
</pre>
<p>
      </p>
<p>
        <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span>
      </p>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2007 -2010 Joachim Faulhaber<br>Copyright &#169; 1999 -2006 Cortex Software GmbH<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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